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Finding the Fourth Proportional to 4,613.26, 6,919.88 and 3,684.46

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Solution

The fourth proportional to 4,613.26, 6,919.88 and 3,684.46 is: 5,526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.26 : 6,919.88 = 3,684.46 : x
  2. Step 2: Convert to fraction form
    4,613.26/6,919.88 = 3,684.46/x
  3. Step 3: Cross multiply
    4,613.26x = 6,919.88 × 3,684.46
  4. Step 4: Simplify right side
    4,613.26x = 25,496,021.06
  5. Step 5: Solve for x
    x = 25,496,021.06/4,613.26
  6. Step 6: Final answer
    x = 5,526.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.